학술저널
ASYMPTOTIC AVERAGE SHADOWING PROPERTY ON A CLOSED SET
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 1
-
2012.0227 - 33 (7 pages)
- 2
Let f be a difeomorphism of a closed n -dimensional smooth manifold M; and p be a hyperbolic periodic point of f: Let ¤(p) be a closed set which containing p: In this paper, we show that(i) if f has the asymptotic average shadowing property on ¤(p); then¤(p) is the chain component which contains p: (ii) suppose f has the asymptotic average shadowing property on ¤(p): Then if fj¤(p) has the C1-stably shadowing property then it is hyperbolic.
1. Introduction
2. Proof of Theorem 1.2
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